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Finding the Fourth Proportional to 983.83, 1,357.68 and 564.19

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Solution

The fourth proportional to 983.83, 1,357.68 and 564.19 is: 778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.83 : 1,357.68 = 564.19 : x
  2. Step 2: Convert to fraction form
    983.83/1,357.68 = 564.19/x
  3. Step 3: Cross multiply
    983.83x = 1,357.68 × 564.19
  4. Step 4: Simplify right side
    983.83x = 765,989.48
  5. Step 5: Solve for x
    x = 765,989.48/983.83
  6. Step 6: Final answer
    x = 778.58

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.